Darwin asked:

In this case I have two stains. One is from green velvet which went around our Christmas tree, and got wet and bled onto the floor. The second are small tar looking stains from the wheels buying prescription drugs online without a prescription on our upright piano. The floor finish is a very hard catalytic (i.e. two reactive agents were combined) – unfortunately the firm that did the floor finish is no longer in business.

Thanks for any insights & help!

Reply:

If only the floor finish itself and not the wood has been stained you can use an extra fine nylon rubbing pad with a good oil soap to remove just enough floor finish to get the mark out. Goo-Gone also works wonders, especially on the tar.
Worse case is sanding to the wood and refinishing.